document.write( "Question 235079: Can you please help me solve problems such as . What is the value of n? I am trying to assist an algebra student with her homework and teach 5th grade. It has been awhile since I have done algebra. Thank you \n" );
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Algebra.Com's Answer #173261 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Not sure what you're asking.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The laws of exponents are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^x*b^y = b^(x+y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An example would be 2^3 * 2^6 = 2^(3+6) = 2^9 = 512\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^x/b^y = b^(x-y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An example would be 2^9 / 2^4 = 2^(9-4) = 2^5 = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^(-x) = 1/b^x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An example would be 2^(-5) = 1/2^5 = 1/32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b^x)^y = b^(x*y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An example would be (2^3)^7 = 2^(3*7) = 2^21 = 2097152\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can use your calculator to confirm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Just do it both ways and see that you get the same answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Last that I remember off hand.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^(1/n) = root(n,b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A couple of examples might explains this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4^(1/2) = sqrt(4) = 2 = square root of 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8^(1/3) = root(3,8) = 2 = cube root of 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15625^(1/6) = root(6,15625) = 5 = sixth root of 15625.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The formula sqrt(x) looks like \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The formula root(n,x) lookslike \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Write if you have further questions.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |